Pythagorean musical definitions
The Pythagoreans used to define the musical ratios and the various consonances a jargon traditional greek and thus the ratio 1 : 1 was To Ison, 2 : 1 to diplasion, 3 : 2 emiolion, 4 : 3 epitrito, 9 : 8 epogdoo; then considering as a musical reference the nete composed of 12 units, paramese was 9 units, 8 the mese and the hypate 6 units, for example, that it was the harmony and then the fusion of two sounds that should be pleasing hearing (on the contrary of the dissonance) necessarily derived from mathematical ratios. Everything had to respond to a specific arithmetic ratio, the nete (12) exceeds the mese (8) of the third part of itself (4), and the hypate (6) is exceeded by the mese (8) by a similar part of itself (2). Therefore, the extreme notes exceed the mese and paramese and are exceeded in accordance with the same intervals all in a harmonious balance that had to be correspond in a figurative way also to the universal [eg. planets motion around the Sun].
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Date: 01/10/2012
 article n°: 2016
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